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Finding the Fourth Proportional to 6,567.62, 9,852.24 and 2,671.52

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Solution

The fourth proportional to 6,567.62, 9,852.24 and 2,671.52 is: 4,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.62 : 9,852.24 = 2,671.52 : x
  2. Step 2: Convert to fraction form
    6,567.62/9,852.24 = 2,671.52/x
  3. Step 3: Cross multiply
    6,567.62x = 9,852.24 × 2,671.52
  4. Step 4: Simplify right side
    6,567.62x = 26,320,456.20
  5. Step 5: Solve for x
    x = 26,320,456.20/6,567.62
  6. Step 6: Final answer
    x = 4,007.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.